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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Higgs bundle; principal bundle; Riemann surface; moduli space; automorphism; involution Vector bundles on curves and their moduli, Applications of global analysis to structures on manifolds, Moduli problems for topological structures, Automorphisms of surfaces and higher-dimensional varieties Involutions and higher order automorphisms of Higgs bundle moduli spaces
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves projective quadric; Clifford algebra; rational equivalence Karpenko, N.A.: On topological filtration for Severi-Brauer varieties. In: \(K\)-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras (Santa Barbara, CA, 1922), vol. 58 of Proceedings of the Symposium on Pure Mathematics, pp. 275-277. American Mathematical Society, Providence, RI (1995) Parametrization (Chow and Hilbert schemes), Projective techniques in algebraic geometry, (Equivariant) Chow groups and rings; motives, Algebraic cycles, \(K\)-theory of quadratic and Hermitian forms Chow groups of quadrics and index reduction formula
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow varieties; classifying spaces; Chern classes; infinite loop spaces Cartan, H.: Exposé 11. Détermination des algèbres \(H_*(\Pi ,n;{\mathbf Z})\). Sém. Henri Cartan, Ec. Norm. Sup., (1954-1955) deux. éd. (1956) Infinite loop spaces, Algebraic cycles, Equivariant homotopy theory in algebraic topology, Parametrization (Chow and Hilbert schemes), Equivariant \(K\)-theory, Equivariant homology and cohomology in algebraic topology Algebraic cycles and equivariant cohomology theories
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Lie theory; Lie superalgebras; spherical varieties Compactifications; symmetric and spherical varieties, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Root systems, Graded Lie (super)algebras Spherical indecomposable representations of Lie superalgebras
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Voisin, C., \textit{remarks on filtrations on Chow groups and the Bloch conjecture}, Ann. Mat. Pura Appl. (4), 183, 421-438, (2004) (Equivariant) Chow groups and rings; motives, Algebraic cycles Remarks on filtrations on Chow groups and the Bloch conjecture
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves arithmetic \(\mathcal D\)-modules; constructible sheaves; overconvergent differential modules; overconvergent Deligne-Kashiwara correspondence; Berkovich space Le Stum, Bernard, Constructible \(\nabla\)-modules on curves, Selecta Math. (N.S.), 20, 2, 627-674, (2014) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, \(p\)-adic cohomology, crystalline cohomology Constructible \(\nabla \)-modules on curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; rational variety; cohomology Totaro, B.: Chow groups, Chow cohomology, and linear varieties. Forum Math. Sigma \textbf{2}, e17, \textbf{25} (2014) (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Rational and unirational varieties Chow groups, Chow cohomology, and linear varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow groups; Abel-Jacobi mapping; Drinfeld modular curve Chad Schoen and Jaap Top, Drinfeld modules and torsion in the Chow groups of certain threefolds, Proc. Lond. Math. Soc. (3) 95 (2007), no. 3, 545 -- 566. Algebraic cycles, Elliptic curves over global fields, Drinfel'd modules; higher-dimensional motives, etc. Drinfeld modules and torsion in the Chow groups of certain threefolds
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; resultants; Fourier coefficients Schmidt, Harry, Resultants and discriminants of multiplication polynomials for elliptic curves, J. Number Theory, 149, 70-91, (2015), Appendix A by Schmidt and Jung Kyu Canci Elliptic curves, Fourier coefficients of automorphic forms Resultants and discriminants of multiplication polynomials for elliptic curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian variety; cycles generated by divisors; Chow groups; Griffiths group Fakhruddin, N.: Algebraic cycles on generic abelian varieties. Compos. Math. 100, 101--119 (1996). Online at Numdam under http://www.numdam.org/item?id=CM\_1996\_\_100\_1\_101\_0 Parametrization (Chow and Hilbert schemes), Algebraic theory of abelian varieties, Global ground fields in algebraic geometry Algebraic cycles on generic abelian varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Birch-Swinnerton-Dyer conjecture; Jacobians; curves \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Jacobians, Prym varieties Numerical verification of the Birch and Swinnerton-Dyer conjecture for hyperelliptic curves of higher genus over \(\mathbb{Q}\) up to squares
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves (Equivariant) Chow groups and rings; motives, Formal methods and deformations in algebraic geometry Deformation theory of the Chow group of zero cycles
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves conductor; upper bound for the Arakelov degree; Szpiro conjecture; Arakelov metric; bounding the height of a semi-stable elliptic curve; Weierstrass sections Frey, Gerhard; Kani, Ernst, Curves of genus \(2\) covering elliptic curves and an arithmetical application.Arithmetic algebraic geometry, Texel, 1989, Progr. Math. 89, 153-176, (1991), Birkhäuser Boston, Boston, MA Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves, Local ground fields in algebraic geometry, Elliptic curves over global fields Curves of genus 2 covering elliptic curves and an arithmetical application
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves integral motivic cohomology; alterations; Chow motives Scholl, A. J., The Arithmetic and Geometry of Algebraic Cycles, 548, Integral elements in \(K\)-theory and products of modular curves, 467-489, (2000), Kluwer Academic Publishers, Dordrecht Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry Integral elements in \(K\)-theory and products of modular curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic \(K3\) surface; Néron-Severi lattice; lattice polarization; quadratic form; genus theory; combinatorial type \(K3\) surfaces and Enriques surfaces, Algebraic theory of quadratic forms; Witt groups and rings Connected components of the moduli of elliptic \(K3\) surfaces
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves higher order embedding; \(n\)-connectedness; very ample line bundle; adjoint bundle Beltrametti, MC; Rocco, S; Lanteri, A, On higher order embeddings and n-connectedness, Math. Nachr., 201, 37-51, (1999) Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Special surfaces, Adjunction problems On higher order embeddings and \(n\)-connectedness
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Weierstraß points Horiuchi, R. and Tanimoto, T. Fixed points of automorphisms of compact Riemann surfaces and higher-order Weierstrass points. Proc. Amer. Math. Soc. 105, (1989), 856--860 Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Fixed points of automorphisms of compact Riemann surfaces and higher- order Weierstrass points
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Shimura curve; special cycle; nonholomorphic modular form; Siegel-Eisenstein series; arithmetic Chow group; arithmetic theta lift Kudla, S., Rapoport, M., Yang, T.: Modular Forms and Special Cycles on Shimura Curves. Annals of Math. Studies, vol. 161. Princeton University Press, Princeton (2006) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fourier coefficients of automorphic forms, Forms of half-integer weight; nonholomorphic modular forms, Arithmetic varieties and schemes; Arakelov theory; heights Modular forms and special cycles on Shimura curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic surfaces; Mordell-Weil rank one; multi-sections; topology of reducible plane curves Elliptic surfaces, elliptic or Calabi-Yau fibrations, Coverings in algebraic geometry, Low-dimensional topology of special (e.g., branched) coverings, Elliptic curves Elliptic surfaces of rank one and the topology of cubic-line arrangements
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Lubin-Tate curve; semi-stable model Imai, N.; Tsushima, T., Explicit construction of semi-stable models of Lubin-Tate curves with low level, Algebraic Number Theory and Related Topics 2012, 15-31, (2014), Res. Inst. Math. Sci. (RIMS), Kyoto Rigid analytic geometry, Modular and Shimura varieties Explicit construction of semi-stable models of Lubin-Tate curves with low level
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves number of morphisms; surfaces of general type; number of irreducible components; Chow variety; number of surfaces of general type L. Guerra, Complexity of Chow varieties and number of morphisms on surfaces of general type,Manuscripta Math. 98 (1999), 1--8. Parametrization (Chow and Hilbert schemes), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic cycles, Surfaces of general type Complexity of Chow varieties and number of morphisms on surfaces of general type
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Shimura varieties; special cycles; modular forms Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Cycles and subschemes Special cycles on toroidal compactifications of orthogonal Shimura varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic characteristic classes; flag varieties; Langlands dual Lie group; localization Grassmannians, Schubert varieties, flag manifolds, Equivariant \(K\)-theory, Elliptic genera Elliptic classes on Langlands dual flag varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular varieties; \(\mathcal D\)-elliptic sheaves; Weil-Deligne bound Mihran Papikian, Modular varieties of \?-elliptic sheaves and the Weil-Deligne bound, J. Reine Angew. Math. 626 (2009), 115 -- 134. Arithmetic aspects of modular and Shimura varieties, Varieties over finite and local fields, Étale and other Grothendieck topologies and (co)homologies, Finite ground fields in algebraic geometry, Modular and Shimura varieties Modular varieties of \(\mathcal D\)-elliptic sheaves and the Deligne-Weil bound
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; conductor; Szpiro's conjecture Elliptic curves On elliptic curves whose conductor is a product of two prime powers
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves global intersection theories; Poincaré duality theories; twisted cohomology theory; \({\mathcal H}\)-homology theory; \({\mathcal H}\)-cycle class; \({\mathcal H}\)-Gysin maps; \({\mathcal H}\)-cohomology; Riemann-Roch theorems; Chern classes L. Barbieri Viale, ''\(\mathcal H\)-cohomologies versus algebraic cycles,'' Math. Nachr., vol. 184, pp. 5-57, 1997. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Riemann-Roch theorems, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Relations of \(K\)-theory with cohomology theories, Étale and other Grothendieck topologies and (co)homologies \(\mathcal {H}\)-cohomologies versus algebraic cycles
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves toric variety; higher order projective duality; tropicalization Dickenstein, A.; Rocco, S.; Piene, R., Higher order duality and toric embeddings, Ann. Inst. Fourier, 64, 375-400, (2014) Toric varieties, Newton polyhedra, Okounkov bodies Higher order duality and toric embeddings
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mordell-Weil lattices; curve of higher genus; fibred surfaces; quadratic forms on Mordell-Weil groups; hyperelliptic curve; dual lattice T. Shioda, ''Mordell-Weil lattices for higher-genus fibrations,''Proc. Japan Acad.,68A, 247--250 (1992). Arithmetic ground fields for curves, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational and ruled surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Mordell-Weil lattices for higher genus fibration
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Nebentypus cusp forms; j-invariants; elliptic curves; Weierstraß equations Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Elliptic curves, Special algebraic curves and curves of low genus, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols On the explicit models of Shimura's elliptic curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves local points; Mordell-Weil group; modular curve; elliptic curve Douglas L. Ulmer, A construction of local points on elliptic curves over modular curves, Internat. Math. Res. Notices 7 (1995), 349 -- 363. Elliptic curves over local fields, Elliptic curves, Holomorphic modular forms of integral weight A construction of local points on elliptic curves over modular curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves product of elliptic curves; elliptic modular surface; resolving singularities; Picard-Fuchs equation; elliptic fibration Structure of families (Picard-Lefschetz, monodromy, etc.), Modular and Shimura varieties, Elliptic curves Picard-Fuchs equations for elliptic modular varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group of 0-cycles Dalawat C.S.-- The Chow group of a Châtelet surface over a number field, arXiv:math/0604339. (Equivariant) Chow groups and rings; motives, Local ground fields in algebraic geometry, Varieties over finite and local fields, Algebraic cycles, Special surfaces The Chow group of a Châtelet surface over a local field
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic fibrations; \(K3\) surfaces \(K3\) surfaces and Enriques surfaces, Coverings in algebraic geometry Elliptic fibrations on covers of the elliptic modular surface of level 5
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves period; index; algebraic curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic ground fields for curves Period and index for higher genus curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves currents; differential forms; divisors of the Grassmannian; Chow transforms; Chow forms; Veronese embedding; ultra-hyperbolic equations; integral geometry Michel Meo, Caractérisation des courants associés aux cycles algébriques par leur transformé de Chow, J. Math. Pures Appl. (9) 79 (2000), no. 1, 21 -- 56 (French, with English summary). Integration on analytic sets and spaces, currents, Currents in global analysis, Geometric measure and integration theory, integral and normal currents in optimization, Cycles and subschemes, Differential forms in global analysis Characterization of the currents associated with algebraic cycles by their Chow transform
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Murre's conjecture; motivic decomposition; Chow group; curve; abelian variety; elliptic modular threefold; product varieties Xu, K; Xu, Z, Remarks on murre's conjecture on Chow groups, J. K-Theo., 12, 3-14, (2013) (Equivariant) Chow groups and rings; motives, Algebraic cycles Remarks on Murre's conjecture on Chow groups
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves symmetric product of Riemann surfaces; Jacobian; Abel-Jacobi map; higher cohomology groups Lazarsfeld, R., Cohomology on symmetric products, syzygies of canonical curves, and a theorem of kempf, No. 145, 89-97, (1993) Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties, Classical real and complex (co)homology in algebraic geometry, Compact Riemann surfaces and uniformization Cohomology on symmetric products, syzygies of canonical curves, and a theorem of Kempf
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves power operations; modular curves; elliptic curves; Morava E-theories \(K\)-theory operations and generalized cohomology operations in algebraic topology, Families, moduli of curves (algebraic), Bordism and cobordism theories and formal group laws in algebraic topology Semistable models for modular curves and power operations for Morava E-theories of height 2
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves standard conjecture of Lefschetz type; elliptic variety; algebraic cycle Tankeev, S G, On the standard conjecture for complex 4-dimensional elliptic varieties, Izv. Ross. Akad. Nauk Ser. Mat., 76, 119-142, (2012) Algebraic cycles, Variation of Hodge structures (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry, \(4\)-folds On the standard conjecture for complex 4-dimensional elliptic varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves differential graded algebras; multiple polylogarithms; algebraic cycles; Hopf algebra of framed mixed Tate motives Polylogarithms and relations with \(K\)-theory, Algebraic cycles Algebraic cycles for multiple polylogarithms
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow ring; Hilbert scheme; Chern classes; homology ring A. Collino , Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of Hilb d(P2) , Illinois J. Math. 32 (1988), 171-210. Parametrization (Chow and Hilbert schemes), (Equivariant) Chow groups and rings; motives Evidence for a conjecture of Ellingsrud and Strømme on the Chow ring of \(Hilb_ d(P^ 2)\)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves projective variety; toric variety; dual varieties; Segre; Veronese Toric varieties, Newton polyhedra, Okounkov bodies, Varieties and morphisms Higher order selfdual toric varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves height function; elliptic curves over function fields; specialization map Elliptic curves over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights Heights and the specialization map for families of elliptic curves over \(\mathbb {P}^n\)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curve; abelian surface; polarization; lattice points Analytic theory of abelian varieties; abelian integrals and differentials, Counting solutions of Diophantine equations On elliptic curves of bounded degree in a polarized abelian surface
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves curve; genus; symmetric product; Néron-Severi group; slope of a divisor Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Divisors on symmetric products of curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moduli spaces of stable 2-bundles over an elliptic surface K.-C. Mong, On the reducibility of moduli spaces of stable \(2\)-bundles over an elliptic surface , Math. Z. 208 (1991), no. 4, 667-672. Algebraic moduli problems, moduli of vector bundles, Elliptic surfaces, elliptic or Calabi-Yau fibrations On the reducibility of moduli spaces of stable 2-bundles over an elliptic surface
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Abel-Jacobi theory in higher dimensions; polarization; infinitesimal variation; Hodge structure; infinitesimal Torelli Variation of Hodge structures (algebro-geometric aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Torelli problem Toward Abel-Jacobi theory for higher dimensional varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rigid analytic spaces; de Rham cohomology groups Peter Schneider, The cohomology of local systems on \?-adically uniformized varieties, Math. Ann. 293 (1992), no. 4, 623 -- 650. Local ground fields in algebraic geometry, de Rham cohomology and algebraic geometry The cohomology of local systems on \(p\)-adically uniformized varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Gromov-Witten invariants; integrable system; hierarchy Buryak, A., Double ramification cycles and integrable hierarchies, Commun. Math. Phys., 336, 1085-1107, (2015) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Double ramification cycles and integrable hierarchies
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular operad; log-canonical Hilbert scheme Families, moduli of curves (algebraic), Parametrization (Chow and Hilbert schemes) Modular operads of embedded curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves surface group representations; Higgs bundles; higher Teichmüller theory; geometric structures on Riemann surfaces Algebraic moduli problems, moduli of vector bundles, Topological properties in algebraic geometry, Vector bundles on curves and their moduli \(\mathrm{SO}(p,q)\)-Higgs bundles and higher Teichmüller components
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves zero-cycles; \(p\)-adic variety; Brauer group; Manin pairing Saito, Shuji; Sato, Kanetomo, Zero-cycles on varieties over \textit{p}-adic fields and Brauer groups, Ann. Sci. Éc. Norm. Supér. (4), 47, 3, 505-537, (2014), MR 3239097 Local ground fields in algebraic geometry, Brauer groups of schemes, Algebraic cycles, (Equivariant) Chow groups and rings; motives Zero-cycles on varieties over \(p\)-adic fields and Brauer groups
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Mumford-Tate conjecture; abelian surface; \(K3\) surface; product of an abelian surface and a \(K3\) surface J. Commelin, On compatibility of the \({\mathcall}\)-adic realisations of an abelian motive. Preprint, https://arxiv.org/abs/1706.09444. (Equivariant) Chow groups and rings; motives, Transcendental methods, Hodge theory (algebro-geometric aspects), Abelian varieties of dimension \(> 1\), \(K3\) surfaces and Enriques surfaces The Mumford-Tate conjecture for the product of an abelian surface and a \(K3\) surface
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rationally connected varieties; quasi-algebraically closed Rational points, Rationally connected varieties Rationally connected varieties over the maximally unramified extension of \(p\)-adic fields
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves dihedral cover; elliptic surface; rational surface; plane quintic Tokunaga, H.: Dihedral covers and an elementary arithmetic on elliptic surfaces. J. Math. Kyoto Univ. \textbf{44}, 255-270 (2004) Coverings in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations Dihedral covers and an elementary arithmetic on elliptic surfaces
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves edge ideals; shellable complex; sequentially Cohen-Macaulay ring Cohen-Macaulay modules, Étale and other Grothendieck topologies and (co)homologies, Hypergraphs A characterization of shellable and sequentially Cohen-Macaulay hypercycles
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves zero-cycles; rational equivalence; generic abelian fourfold does not contain any trigonal curve A.Alzati and G. P.Pirola, Rational orbits on 3-symmetric products of Abelian varieties. To appear in Trans. Amer. Math. Soc. (Equivariant) Chow groups and rings; motives, Abelian varieties and schemes, Algebraic cycles, Parametrization (Chow and Hilbert schemes), \(4\)-folds Rational orbits on three-symmetric products of abelian varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Deninger, C., Scholl, A.: The Beilinson conjectures. In: ''\(L\)-functions and arithmetic.'' (Durham, 1989), pp. 173-209. London Math. Soc. Lecture Note Ser., vol. 153. Cambridge Univ. Press, Cambridge (1991) Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Elliptic curves over global fields, Number-theoretic algorithms; complexity, (Equivariant) Chow groups and rings; motives Algorithms for Chow-Heegner points via iterated integrals
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycle; Chow group; regulator map (Equivariant) Chow groups and rings; motives, Algebraic cycles, \(K\)-theory and homology; cyclic homology and cohomology A regulator map for 1-cycles with modulus
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves moving lemma; additive higher Chow group; higher Chow group with modulus Algebraic cycles, \(K\)-theory of schemes A moving lemma for algebraic cycles with modulus and contravariance
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Fock, VV; Goncharov, AB, Moduli spaces of local systems and higher Teichmüller theory, Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 103, 1-211, (2006) Vector bundles on curves and their moduli, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Algebraic moduli problems, moduli of vector bundles, Geometric invariant theory, Classical groups (algebro-geometric aspects), Semisimple Lie groups and their representations, Fundamental groups and their automorphisms (group-theoretic aspects) Moduli spaces of local systems and higher Teichmüller theory
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves real algebraic GM-manifold; complex conjugation; Euler characteristic; rational equivalence of cycles V. A. Krasnov, ''Algebraic cycles on a real algebraic GM-variety and their applications,'' Izv. Ross. Akad. Nauk Ser. Mat. [Russian Acad. Sci. Izv. Math.], 57 (1993), no. 4, 153--173. Topology of real algebraic varieties, (Equivariant) Chow groups and rings; motives, Topological properties in algebraic geometry, Classical real and complex (co)homology in algebraic geometry Algebraic cycles on a real algebraic GM-manifold and their applications
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Deligne pairing; Faltings height; Chow forms DOI: 10.1007/s101140000047 Heights, Parametrization (Chow and Hilbert schemes), Arithmetic varieties and schemes; Arakelov theory; heights Generalized Chow forms and reduction of semi-stable varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves index of intersection; intersection product; analytic cycles Rams, S.: On the intersection product of analytic cycles, Ann. polon. Math. 73, No. 2, 135-146 (2000) Analytic subsets and submanifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On the intersection product of analytic cycles
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion subgroup of second Chow group; \(K_2\)-cohomology; Galois module structure; Bloch-Quillen-formula; Neron-Severi group; Picard variety Colliot-Thélène, J. -L.; Raskind, W., \(\mathcal{K}_2\)-cohomology and the second Chow group, Math. Ann., 270, 165-199, (1985) (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Galois cohomology, Parametrization (Chow and Hilbert schemes), Steinberg groups and \(K_2\), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) \(K_2\)-cohomology and the second Chow group
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves torsion subgroup of second Chow group; \(K_ 2\)-cohomology; Galois module structure; Bloch-Quillen-formula; Neron-Severi group; Picard variety Colliot-Thélène, J.-L. and Raskind, W.: K 2-Cohomology and the second Chow group, Math. Ann. 270 (1985), 165-199. (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Galois cohomology, Parametrization (Chow and Hilbert schemes), Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) \(K_ 2\)-cohomology and the second Chow group
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Strange duality on rational surfaces. II: Higher-rank cases
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves CM cycles; Shimura curve; \(p\)-adic integration; anti-cyclotomic \(p\)-adic \(L\)-function; \(p\)-adic formula of Gross-Zagier type; generalized Heegner cycles; \(p\)-adic Abel-Jacobi map M. Masdeu, CM cycles on Shimura curves, and \textit{p}-adic \textit{L}-functions, Compos. Math. 148 (2012), no. 4, 1003-1032. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Holomorphic modular forms of integral weight, Arithmetic aspects of modular and Shimura varieties, Algebraic cycles CM cycles on Shimura curves, and \(p\)-adic \(L\)-functions
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves M. Stoll and J. E. Cremona, ''Minimal models for 2-coverings of elliptic curves,'' LMS J. Comput. Math., vol. 5, pp. 220-243, 2002. Elliptic curves over global fields, Elliptic curves over local fields, Local ground fields in algebraic geometry, Computational aspects of algebraic curves Minimal models for 2-coverings of elliptic curves
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves multiplicative group; algebraic curves; height functions; finiteness result; rational points P. Habegger, A Bogomolov property for curves modulo algebraic subgroups , Bull. Soc. Math. France 137 (2009), 93--125. Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Arithmetic ground fields for curves, Counting solutions of Diophantine equations, Rational points, Global ground fields in algebraic geometry A Bogomolov property for curves modulo algebraic subgroups
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Algebraic cycles, Witt vectors and related rings, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) A moving lemma for cycles with very ample modulus
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow groups; finite-dimensional motives Laterveer, R, A brief note concerning hard Lefschetz for Chow groups, Can. Math. Bull., (2015) (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) A brief note concerning hard Lefschetz for Chow groups
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves rational elliptic surfaces; multiplicative invariants; inverse Galois problem; Weyl group; Mordell-Weil group Kumar, Abhinav; Shioda, Tetsuji, Multiplicative excellent families of elliptic surfaces of type \(E_7\) or \(E_8\), Algebra Number Theory, 1937-0652, 7, 7, 1613-1641, (2013) Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields, Separable extensions, Galois theory, Actions of groups on commutative rings; invariant theory Multiplicative excellent families of elliptic surfaces of type \(E_7\) or \(E_8\)
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; Tamagawa numbers; Kodaira-Néron-types; Tate's algorithm Elliptic curves over global fields, Elliptic curves over local fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves Local data of rational elliptic curves with nontrivial torsion
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves conductors; ramification; elliptic curves; characteristic 2; \(j\)-invariant Ernst-Ulrich Gekeler, Highly ramified pencils of elliptic curves in characteristic 2, Duke Math. J. 89 (1997), no. 1, 95 -- 107. Elliptic curves over local fields, Elliptic curves over global fields, Elliptic curves Highly ramified pencils of elliptic curves in characteristic 2
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; Shimura variety; Chow-Künneth decomposition; Murre's conjecture (Equivariant) Chow groups and rings; motives, Modular and Shimura varieties, Algebraic cycles Chow motives of mixed Shimura varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves algebraic cycles; Chow motives; Hodge filtration; intermediate Jacobian; Abel-Jacobi kernel; generic point; Poincaré bundle; holomorphic form S Gorchinskiy, V Guletski, Symmetric powers in stable homotopy categories (Equivariant) Chow groups and rings; motives, Algebraic cycles Non-trivial elements in the Abel-Jacobi kernels of higher-dimensional varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) Specialization of the torsion subgroup of the Chow group
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Character varieties, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Orbifold cohomology, (Equivariant) Chow groups and rings; motives Inertial Chow rings of toric stacks
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular form; uniruledness; moduli space; lattice GH V.~Gritsenko and K.~Hulek, \emph Uniruledness of orthogonal modular varieties. J. Algebraic Geometry \textbf 23 (2014), 711--725. Moduli, classification: analytic theory; relations with modular forms, \(K3\) surfaces and Enriques surfaces, Rational and unirational varieties, Relations with algebraic geometry and topology, Jacobi forms, Automorphism groups of lattices Uniruledness of orthogonal modular varieties
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(F\)-isocrystal; local system; slope; Newton polygon; Frobenius; hypergeometric sheaf Galois representations, \(p\)-adic cohomology, crystalline cohomology, Representation-theoretic methods; automorphic representations over local and global fields, Finite ground fields in algebraic geometry Slopes of indecomposable \(F\)-isocrystals
0
higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Euisung Park, On higher syzygies of ruled varieties over a curve, to appear in J. Algebra. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Syzygies, resolutions, complexes and commutative rings Higher syzygies of ruled varieties over a curve
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves modular symbols; isogeny classes; value of \(L\)-series; elliptic curves; rational new-forms; Birch--Swinnerton-Dyer conjecture; tables Cremona, [Cremona and Whitley 94] J. E.; Whitley, E., Periods of cusp forms and elliptic curves over imaginary quadratic fields, \textit{Math. Comput.}, 62, 205, 407-429, (1994) Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over global fields, Elliptic curves, Computational aspects of algebraic curves Periods of cusp forms and elliptic curves over imaginary quadratic fields
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow group; tensor triangulated category; Bloch formula; Gersten conjecture Klein, S, Intersection products for tensor triangular Chow groups, J. Algebra, 449, 497-538, (2016) Derived categories and commutative rings, (Equivariant) Chow groups and rings; motives, \(K\)-theory of schemes Intersection products for tensor triangular Chow groups
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves cubic fourfold; \(K3\) surface; rational surface; unirational parametrization Lai, K.-W., New cubic fourfolds with odd degree unirational parametrizations Rationality questions in algebraic geometry, Rational and ruled surfaces, \(4\)-folds, Hypersurfaces and algebraic geometry, Rational and unirational varieties New cubic fourfolds with odd-degree unirational parametrizations
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves motives; triangulated categories; Chow groups; weight structures; Chow-weight homology; Deligne filtration; effectivity (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Derived categories, triangulated categories, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Torsion theories, radicals, Transcendental methods, Hodge theory (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies, Localization of categories, calculus of fractions On Chow-weight homology of geometric motives
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves abelian varieties; Chow ring; zero-cycles; covering gonality Subvarieties of abelian varieties, Algebraic cycles Chow ring and gonality of general abelian varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves elliptic curves; abelian surfaces; icosahedron; crystallographs; icosahedral symmetries Hulek, K. : Elliptische Kurven, abelsche Flächen und das Ikosaeder . Jber. Deutsche Math.-Verein. 91, 126-147 (1989). Symmetry properties of polytopes, Elliptic curves, Algebraic theory of abelian varieties, Polyhedra and polytopes; regular figures, division of spaces, Statistical mechanics of crystals Elliptic curves, abelian surfaces and the icosahedron
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves surface of general type; Lang's conjecture Surfaces of general type, Hyperbolic and Kobayashi hyperbolic manifolds On Lang's conjecture for some product-quotient surfaces
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow motive; abelian variety; Weil cohomology Klaus Künnemann, On the Chow motive of an abelian scheme, Motives (Seattle, WA, 1991) Proc. Sympos. Pure Math., vol. 55, Amer. Math. Soc., Providence, RI, 1994, pp. 189 -- 205. Algebraic theory of abelian varieties, Generalizations (algebraic spaces, stacks), Algebraic cycles, Parametrization (Chow and Hilbert schemes) On the Chow motive of an abelian scheme
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Rational points, Rationally connected varieties, Varieties over global fields, (Equivariant) Chow groups and rings; motives Rational points and zero-cycles on rationally connected varieties over number fields
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves height function; elliptic curves; function field Wei Pin Wong, On the average value of the canonical height in higher dimensional families of elliptic curves, Acta Arith. 166 (2014), no. 2, 101 -- 128. Elliptic curves over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights On the average value of the canonical height in higher dimensional families of elliptic curves
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Loerke, K.: Reduction of abelian varieties and Grothendieck's pairing. Preprint arXiv:0909.4425 Abelian varieties of dimension \(> 1\), Rigid analytic geometry Cup products and pairings for abelian varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves periodic points; quadratic polynomials; hyperelliptic curves Flynn, E. V.; Poonen, B.; Schaefer, E. F., Cycles of quadratic polynomials and rational points on a genus-2 curve, \textit{Duke Mathematical Journal}, 90, 3, 435-463, (1997) Polynomials in number theory, Rational and birational maps, Topological dynamics, Rational points, Higher degree equations; Fermat's equation Cycles of quadratic polynomials and rational points on a genus-2 curve
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Group schemes, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry Chow filtration on representation rings of algebraic groups
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves linear algebraic group; Chow ring; exceptional group P. Guillot, The Chow ring of G 2 and Spin(7), J. Reine Angew. Math. 604 (2007), 137-158. (Equivariant) Chow groups and rings; motives, Homogeneous spaces and generalizations, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) The Chow rings of \(G_2\) and Spin(7)
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Chow variety; identifiability; Chow decomposition; split variety Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Computational aspects of higher-dimensional varieties, Effectivity, complexity and computational aspects of algebraic geometry, Multilinear algebra, tensor calculus, Vector and tensor algebra, theory of invariants Almost all subgeneric third-order Chow decompositions are identifiable
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves geometric quotient; Chow ring; Chow group Geir Ellingsrud and Stein Arild Strømme, On the Chow ring of a geometric quotient, Ann. of Math. (2) 130 (1989), no. 1, 159 -- 187. Parametrization (Chow and Hilbert schemes), Homogeneous spaces and generalizations, Geometric invariant theory On the Chow ring of a geometric quotient
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves \(p\)-adic weight-monodromy conjecture; \(p\)-adically uniformised varieties Ehud de Shalit, The \?-adic monodromy-weight conjecture for \?-adically uniformized varieties, Compos. Math. 141 (2005), no. 1, 101 -- 120. \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry The \(p\)-adic monodromy-weight conjecture for \(p\)-adically uniformized varieties
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higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology Gordon B. and Lewis J.\ D., Indecomposable higher Chow cycles on products of elliptic curves, J. Alg. Geom. 8 (1999), 543-567. (Equivariant) Chow groups and rings; motives, Elliptic curves, Parametrization (Chow and Hilbert schemes), Algebraic cycles Indecomposable higher Chow cycles on products of elliptic curves Zariski dense rational points; \(K3\) surfaces; abelian fibrations; symmetric product of a \(K3\) surface; Abelian fibration Hassett B. and Tschinkel Yu. (2000). Abelian fibrations and rational points on symmetric products. Int. J. Math. 11: 1163--1176 Rational points, Fibrations, degenerations in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties Abelian fibrations and rational points on symmetric products
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